Graduate Faculty and Their Research
Jeffrey Brock [1], Ph.D., U.C. Berkeley 1997. Guggenheim Fellow, AMS Fellow. Dean of the School of Engineering and Applied Science. Hyperbolic geometry, low dimensional topology, and applications.
Andrew Casson [2], Cambridge University, 1969. Royal Society Fellow. (Emeritus) Low-dimensional topology, four manifold theory, algebraic topology, hyperbolic geometry.
Ronald Coifman [3], Ph.D., Geneva, 1965. Philips Professor of Mathematics, National Academy of Sciences, American Academy of Arts and Sciences, National Medal of Science, Rolf Schock prize . Nonlinear analysis, Scattering theory, Real and complex analysis, Singular integrals, Numerical analysis, Harmonic analysis and Geometry in high dimension Data Analysis
Igor Frenkel [4], Ph.D., Yale, 1980. American Academy of Arts and Sciences and National Academy of Sciences. Infinite-dimensional algebras, representation theory, applications of Lie theory, mathematical physics.
Alexander Goncharov [5], Ph.D., (USSR) 1987. European Mathematical Society Prize. Arithmetic Algebraic Geometry: polylogarithms, zeta-functions, periods, Hodge theory, motives, motivic Galois groups, Quantum geometry of moduli spaces, Representation Theory and Mathematical Physics
Sebastian Hurtado - Salazar [6], Ph.D., University of California Berkeley, 2014. Dynamical systems and its applications to geometry and topology. Groups actions on manifolds. Discrete subgroups of Lie groups.
Peter Jones [7], Ph.D., UCLA, 1978. American Academy of Arts and Sciences. National Academy of Sciences. Salem Prize. (Emeritus) Real, complex, and Fourier analysis, singular integrals, potential theory, dynamical systems.
Richard Kenyon [8], Ph.D., Princeton, 1990. Loeve Prize, Rollo Davidson Prize, American Academy of Arts and Sciences. Combinatorics, Discrete Geometry, Probability, Statistical Mechanics.
Students:
Ivan Loseu [9], Ph.D., Moscow State University, 2007. Representation theory and its connections to Algebraic geometry, Geometric representation theory
Students:
Gregory Margulis [10], Ph.D., Moscow, 1970. American Academy of Arts and Sciences. National Academy of Sciences. Fields Medal. Abel Prize. (Emeritus) Lie group theory, ergodic theory, number theory, network theory, and dynamics.
Yair Minsky [11], Ph.D., Princeton University, 1989. Kleinian groups, Teichmuller theory, geometric group theory, holomorphic dynamics, differential geometry.
Students:
Andrew Neitzke [13], Ph.D., Harvard, 2005. Supersymmetric quantum field theory, string theory, enumerative geometry, hyperkahler geometry
Students:
Hee Oh [14], Ph.D., Yale, 1997. Satter Prize. Homogeneous dynamics, discrete subgroups of Lie groups, Kleinian groups, hyperbolic geometry, and the resulting applications of number theory.
Students:
Vladimir Rokhlin [17], Ph.D., Rice, 1983. National Academy of Sciences. Numerical scattering theory, elliptic partial differential equations, numerical solution of integral equations.
Wilhelm Schlag [18], Ph.D., Caltech 1996. Philips Professor of Mathematics Spectral Theory, Partial differential evolution equations, harmonic analysis
Students:
John Schotland [19], M.D., Ph.D., University of Pennsylvania, 1996 Inverse problems, scattering theory, waves in random media, quantum optics.
Junliang Shen [20], Ph.D., ETH Zurich 2018. Algebraic geometry and its connections to topology, enumerative geometry, and mathematical physics.
Students:
Van Vu [23], Ph.D., Yale, 1998. Polya Prize. Fulkerson Prize. Combinatorics, probability, additive number theory, data science.
Students:
Gregg Zuckerman [25], Ph.D., Princeton, 1975. (Emeritus) Representation theory, applications of Lie theory, mathematical physics.
Sam Raskin [26], Ph.D., Harvard, 2014. Algebra, Langlands duality, geometric representation theory, algebraic geometry, and homotopy theory.